Classify Polynomials by Coefficient and Degree

y = -3x² + 4x + 9

Determine the type of Leading Coefficient.

• Positive Leading Coefficient

• Negative Leading Coefficient

Tags

CCSS.HSF-IF.C.7A

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.

Identify the sign of the leading coefficient

• Positive Leading Coefficient

• Negative Leading Coefficient

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.

Identify the sign of the leading coefficient

• Positive Leading Coefficient

• Negative Leading Coefficient

Determine if the degree of the polynomial is even or odd.

• Even Degree

• Odd Degree

Classify the graph by its degree.

• Even Degree

• Odd Degree

Classify the graph by its degree.

• Even Degree

• Odd Degree

Classify the graph by its coefficient and degree.

• Positive Coefficient and Even Degree

• Negative Coefficient and Even Degree

• Positive Coefficient and Odd Degree

• Negative Coefficient and Odd Degree

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Determine the end behavior of the graph of

f(x) = -3x⁴ + 2x - 5

• Both Arms are Up

• Both Arms are Down

• Left Arm is Up Right Arm is Down

• Left Arm is Down Right Arm is Up